Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 968/815, 1637/1721 quickly i.e. 1584616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 968/815, 1637/1721 is 1584616.
LCM(968/815, 1637/1721) = 1584616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 968/815,1637/1721
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 968,1637
Least Common Multiple of Numerators i.e. LCM of 968,1637 is 1584616.
GCF of Denominators means GCF of 815,1721 as per the given fractions.
GCF of 815,1721 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 968,1637
Given numbers has no common factors except 1. So, there LCM is their product i.e 1584616
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 968,1637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,1637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,1637) x common factors =1 x 1 = 1
LCM(968,1637) = ( 968 × 1637 ) / 1
LCM(968,1637) = 1584616 / 1
LCM(968,1637) = 1584616
Lets's calculate GCF of 815,1721
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1584616/1
Therefore the LCM of Fractions 968/815,1637/1721 is 1584616
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 1721
List of positive integer factors of 1721 that divides 1721 without a remainder.
1,1721
Greatest Common Factor
We found the factors 815,1721 . The biggest common factor number is the GCF number.
So the greatest common factor 815,1721 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 968/815, 1637/1721?
Answer: LCM of Numerators as per given numbers 968/815, 1637/1721 is
LCM of Numerators i.e. for 968,1637 is 1584616
GCF of denominators i.e. for 815,1721 is 1.
Thus, LCM of Fractions is 1584616.Finally, LCM of Fractions for 968/815, 1637/1721 is 1584616.